Determine whether the lines given in each box are parallel, perpendicular, or neither
You can do it by page say page one or page two please need it by today
Answers
Answer/Step-by-sep explanation:
To determine whether the lines given in each box are parallel, perpendicular, or neither, take the following simple steps:
1. Ensure the equations for both lines being compared are in the slope-intercept form, y = mx + b. Where m is the slope.
2. If both lines have the same slope value, m, then both lines are parallel.
3. If the slope of one line is the negative reciprocal of the other, then both lines are perpendicular. That is, x = -1/x.
4. If the slope of both lines are not the same, nor the negative reciprocal of each other, then they are neither parallel nor perpendicular.
1. y = 3x - 7 and y = 3x + 1.
Both have the same slope value of 3. Therefore, they are parallel.
2. ⬜ [tex] y = -\frac{2}{5}x + 3 [/tex] and [tex] y = \frac{2}{5}x + 8 [/tex]
The slope of both lines are not the same, nor is the slope of one the negative reciprocal of the other. The slope of one is -⅖ and the slope of the other is ⅖. Therefore, they are neither parallel nor perpendicular.⬜
3. [tex] y = -\frac{1}{4}x [/tex] and [tex] y = 4x - 5 [/tex]
The slope of the first line, ¼, is the negative reciprocal of the slope of the second line, 4.
Therefore, they are perdendicular.
4. 2x + 7y = 28 and 7x - 2y = 4.
Rewrite both equations in the slope-intercept form, y = mx + b.
2x + 7y = 28
7y = -2x + 28
y = -2x/7 + 28/7
y = -²/7 + 4
And
7x - 2y = 4
-2y = -7x + 4
y = -7x/-2 + 4/-2
y = ⁷/2x - 2
The slope of the first line, -²/7, is the negative reciprocal of the slope of the second line, ⁷/2.
Therefore, they are perdendicular.
5.⬜ y = -5x + 1 and x - 5y = 30.
Rewrite the second line equation in the slope-intercept form.
x - 5y = 30
-5y = -x + 30
y = -2x/-5 + 30/-5
y = ⅖x - 6
The slope of both lines are not the same, nor is the slope of one the negative reciprocal of the other. The slope of one is -5 and the slope of the other is ⅖. therefore, they are neither parallel nor perpendicular.⬜
6.⬜ 3x + 2y = 8 and 2x + 3y = -12.
Rewrite both line equations in the slope-intercept form.
3x + 2y = 8
2y = -3x + 8
y = -3x/2 + 8/2
y = -³/2x + 4
And
2x + 3y = -12
3y = -2x -12
y = -2x/3 - 12/3
y = -⅔x - 4
The slope of both lines are not the same, nor is the slope of one the negative reciprocal of the other. The slope of one is -³/2 and the slope of the other is -⅔ therefore, they are neither parallel nor perpendicular.⬜
7. y = -4x - 1 and 8x + 2y = 14.
Rewrite the equation of the second line in the slope-intercept form.
8x + 2y = 14
2y = -8x + 14
y = -8x/2 + 14/2
y = -4x + 7
Both have the same slope value of -4. Therefore, they are parallel.
8.⬜ x + y = 7 and x - y = 9.
Rewrite the equation of both lines in the slope-intercept form.
x + y = 7
y = -x + 7
And
x - y = 9
-y = -x + 9
y = -x/-1 + 9/-1
y = x - 9
The slope of both lines are not the same, nor is the slope of one the negative reciprocal of the other. The slope of one is -1, and the slope of the other is 1, therefore, they are neither parallel nor perpendicular.⬜
9. y = ⅓x + 9 And x - 3y = 3
Rewrite the equation of the second line.
x - 3y = 3
-3y = -x + 3
y = -x/-3 + 3/-3
y = ⅓x - 1
Both have the same slope value of ⅓. Therefore, they are parallel.
10.⬜ 4x + 9y = 18 and y = 4x + 9
Rewrite the equation of the first line.
4x + 9y = 18
9y = -4x + 18
y = -4x/9 + 18/9
y = -⁴/9x + 2
The slope of both lines are not the same, nor is the slope of one the negative reciprocal of the other. The slope of one is -⁴/9, and the slope of the other is 4, therefore, they are neither parallel nor perpendicular.⬜
11.⬜ 5x - 10y = 20 and y = -2x + 6
Rewrite the equation of the first line.
5x - 10y = 20
-10y = -5x + 20
y = -5x/-10 + 20/-10
y = ²/5x - 2
The slope of both lines are not the same, nor is the slope of one the negative reciprocal of the other. The slope of one is ⅖, and the slope of the other is -2, therefore, they are neither parallel nor perpendicular.⬜
12. -9x + 12y = 24 and y = ¾x - 5
Rewrite the equation of the first line.
-9x + 12y = 24
12y = 9x + 24
y = 9x/12 + 24/12
y = ¾x + 2
Both have the same slope value of ¾. Therefore, they are parallel.
Related Questions
Miss Tay paid a total of $14.00 for 5 mangoes and 8 oranges. Each mango cost $1.50 more than an orange. Find the cost of each mango and each orange.
Answers
Answer:
$2.80
Step-by-step explanation:
14.00 for 5 mangos and 8 oranges
14/5=2.8 for each mango
2.8+1.50=4.30
Allison is planning a bridal shower for her daughter. She has decided on a budget of $3,000 to pay for expenses in her & budget categories of venue, food, dessert, and 1 thank you gifts. Allison has budgeted $1,750 for food and dessert. She wants to spend of the remaining money in her budget on the venue, and on thank you gifts, How 1 much money will Allison budget for the venue? How much money will she budget for thank you gifts
Answers
Answer: Allison will budget $937.50 for the venue and $312.50 for thank-you gifts.
Step-by-step explanation:
Subtract $1,750 from Allison's budget of $3,000 to see how much Allison can budget for the venue and thank-you gifts.
$3,000-$1,750=$1,250
Allison can budget $1,250 for the venue and thank-you gifts.
Multiply $1,250 by 3/4 to calculate how much money Allison will budget for the venue.
$1,250⋅34=$937.50
Multiply $1,250 by 1/4 to calculate how much money Allison will budget for thank-you gifts.
$1,250⋅1/4=$312.50
Allison will budget $937.50 for the venue and $312.50 for thank-you gifts.
Please help!
The following is an isosceles trapezoid, find WX
Answers
Answer:
WX=33
Step-by-step explanation:
Isosceles Trapezoid
The base angles of an isosceles trapezoid are congruent. The base angles of the trapezoid shown in the figure are P and Q, and S and R.
Midsegment Theorem: The length of the midsegment of a trapezoid is the average of the lengths of the bases.
Being W and X the midsegments of PS and QR respectively, then WX is the midsegment of PQ and SR, thus
[tex]\displaystyle WX=\frac{PQ+SR}{2}[/tex]
[tex]\displaystyle WX=\frac{27+39}{2}=\frac{66}{2}=33[/tex]
WX=33
M=_ please help me thank you
Answers
Answer:
m= e= mc square
Step-by-step explanation:
Kelly has ¾ of a pie left. She wants to split the pie with 3 of her friends. How much of the pie will each person get?
Answers
Answer:
1/4 od pie.
Step-by-step explanation: So 3/4 divided by 3 is 1/4
Find the other endpoint of the line segment with the given endpoint and midpoint. Endpoint (-9.9) and Midpoint (10,0) A (0.5.5) B (0,5) C (29,-9) D (-9.5, 4.5)
Answers
The other endpoint of the given line segment is (29, -9).
If O(x, y) is the midpoint between the line segment AB with end points A(x₁, y₁) and B(x₂, y₂). The coordinate of the midpoint is:
x = (x₁ + x₂)/2; y = (y₁ + y₂)/2
Let A(x, y) be the other end point. Since one end point is (-9, 9) and Midpoint (10,0), hence:
10 = (x + (-9))/2
20 = x - 9
x = 29
0 = (y + 9)/2
0 = y + 9
y = -9
Therefore the other endpoint of the given line segment is (29, -9).
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La otra tarde vi en un parking 39 vehículos, entre coches y motos, a los que les
conté un total de 126 ruedas. ¿Cuántos vehículos de cada clase había en el parking?
Answers
Answer:
quince
Step-by-step explanation:
how to turn a fraction into a decimal, help
Answers
A fraction is really just another way to write a division problem without dividing. So all you have to do is divide, then round to whichever decimal place your teacher wants.
how do you factor quadratics into binomials
Answers
Answer:
Step-by-step explanation:
Step 1: Write the equation in the correct form. In this case, we need to set the equation equal to zero with the terms written in descending order.
Step 2: Use a factoring strategies to factor the problem.
Step 3: Use the Zero Product Property and set each factor containing a variable equal to zero.
What is the expanded form of 720.058
Answers
Answer:
Standard Form:
720.058
Expanded forms can be written like a sentence or stacked for readability as they are here.
Expanded Notation Form:
720.058 =
700
+ 20
+ 0
+ 0.0
+ 0.05
+ 0.008
Expanded Factors Form:
720.058 =
7 × 100
+ 2 × 10
+ 0 × 1
+ 0 × 0.1
+ 5 × 0.01
+ 8 × 0.001
Expanded Exponential Form:
720.058 =
7 × 102
+ 2 × 101
+ 0 × 100
+ 0 × 10-1
+ 5 × 10-2
+ 8 × 10-3
Word Form:
720.058 =
seven hundred twenty and fifty-eight thousandths
Step-by-step explanation:
Answer:
700 + 20 + 0 + 0.050 + 0.008
Step-by-step explanation:
What is the correct answer ?
Answers
Answer:
B
Step-by-step explanation:B
A study shows that 78% of adults need eye correction. If 12 adults are randomly selected, find the probability that atleast 11 of them need correction for their eyesight
Answers
Answer: 0.2224
Step-by-step explanation:
Given: The proportion of adults need eye correction: p= 78%=0.78
Let X be a binomial variable that represents the number of adults who need eye correction.
Sample size of adults: n= 12
Binomial ditsribution formula:
[tex]P(X=x)=^nC_xp^x(1-p)^{n-x}[/tex]
Now, the probability that at least 11 of them need correction for their eyesight will be
[tex]P(X\geq11)=P(X=11)+P(X=12)\\\\=^{12}C_{11}(0.78)^{11}(1-0.78)^{1}+^{12}C_{12}(0.78)^{12}(1-0.78)^{0}\\\\=(12)(0.78)^{11}(0.22)+(1)(0.78)^{12}(1)\\\\\approx0.1716503+0.05071486=0.22236516\approx0.2224[/tex]
Hence, the required probability = 0.2224
What is the equation of the line through the origin and (3, 4)?
O A. y = 2
O B. y = x
O
C. y = 4x
O D. y = 3x
Answers
Answer:
A logarithm is the power to which a number must be raised in order to get some other number (see Section 3 of this Math Review for more about exponents). For example, the base ten logarithm of 100 is 2, because ten raised to the power of two is 100: log 100 = 2. because.
STep-by-step Ihave a felling its b
select the length of the missing side of triangle b
1.5
4.5
5
6
Answers
Answer:
4.5
Step-by-step explanation:
Simplify the following expression (87x + 63y) - (6x + 32y)
Answers
Answer: 81x + 31y
Step-by-step explanation:
i need help!!:(
............
Answers
Answer:
Neither
Step-by-step explanation:
When you divide 2x by -5 it's not the opposite or the same as the other equation
Only for BreannWright09
Answers
Answer:
thanks for points i know u only wanted my sis (breann) to answer
Step-by-step explanation:
Answer:
me like foood
Step-by-step explanation:
thanks for the points bubba
Which line has a slope of 1?
A. line L
B. line K
C. line M
D. line A
Answers
Answer:
A - Line L
Step-by-step explanation:
It has the slope of 1 because, it rises once and runs or goes over one. Which must keep repeating in that same way.
Hope this Helps!
:D
A TV that normally cost $800 is on sale for 33% off. There is a 6% sales tax on the purchase. What is the final cost of the TV?
Answers
Answer:
$568.16
Step-by-step explanation:
Answer: The answer to your problem is $568.16
Evaluate 5x-2w+t
Help needed!!
Answers
the answer is the same
The value of x is (2w - t)/5.
The value of w is (5x + t)/2.
The value of t is 2w - 5x.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
5x - 2w + t = 0
Solve for x.
5x - 2w + t = 0
5x = 2w - t
x = (2w - t)/5
Solve for w.
5x - 2w + t = 0
5x + t = 2w
w = (5x + t)/2
Solve for t.
5x - 2w + t = 0
t = 2w - 5x
Thus,
The value of x, w, and t is given above.
Learn more about expressions here:
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3 + 2p - 4 = 11
algebra 1 solving equations
Answers
Answer: the variable is p=6 .
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable
Answer:
p = 6
Step-by-step explanation:
Step 1: Simplify both sides.
3 + 2p − 4 = 11
3 + 2p + −4 = 11
(2p) + (3+−4) = 11 (Combine Like Terms)
2p + −1 = 11
2p − 1 = 11
Step 2: Add 1 to both sides.
2p − 1 + 1 = 11 + 1
2p = 12
Step 3: Divide both sides by 2.
2p/2 = 12/2
p=6
A 6-column table with 3 rows in the second, third, and fifth columns and 1 row in the other columns. The first column labeled Number of Washers has entry 1 washer mass = 4.9 grams. The second column labeled Trial has entries trial number 1, trial number 2, trial number 3. The third and fourth columns labeled Time to travel 0.25 meters t subscript 1 (seconds) have entries in the third column 2.24, 2.21, 2.23 and average in the fourth column. The fifth and sixth columns labeled time to travel 0.5 meters t subscript 2 (seconds) have entries in the fifth column 3.16, 3.08, 3.15 and in the sixth column average.
The average time that it takes for the car to travel the first 0.25m is
s.
The average time to travel just between 0.25 m and 0.50 m is
s.
Given the time taken to travel the second 0.25 m section, the velocity would be
m/s.
Answers
Answer:
2.23
.90
.28
Step-by-step explanation:
Answer: your answer are 2.23, .90, .28
Step-by-step explanation:
your answer are 2.23, .90, .28
Lexi jarred 2.3 liters of jam after 2 days. How many days does Lexi need to spend making jam if she wants to jar 4.6 liters of jam in all?
Answers
Answer:
bruh 4 days duh
Step-by-step explanation:
Question 6 of 10
What is the value of p?
140"
90
lo
O A. 600
ОО
B. 900
C. 40°
O D. 50°
Answers
Answer:
B answer is correct hiiii
Answer: 50
Step-by-step explanation:
4/6 divided by 3/12
/ is fraction
Answers
Answer:
185185185/10000000000
Step-by-step explanation:
4/6 divided by 3/12 is .. 0.0104166667 as a fraction is /
At a restaurant you meal is $20. In addition to the cost of the meal you must pay a 5% sales tax and leave a 15% tip. What is the total
bill?
Answers
Solution set of equation x^2-5x=0
Answers
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
[tex] {x}^{2} - 5x = 0[/tex]
Factorise x
[tex]x(x - 5) = 0[/tex]
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Hint :
[tex]a \times b = 0[/tex]
[tex]a = 0 \: \: \: \: or \: \: \: \: b = 0[/tex]
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Thus ;
[tex]x = 0 \: \: \: \: or \: \: \: \: x - 5 = 0[/tex]
So :
[tex] x = 0 \: \: \: \: or \: \: \: \: x = 5[/tex]
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CHECK :
[tex]x = 0[/tex]
[tex] {0}^{2} - 5(0) = 0[/tex]
[tex]0 - 0 = 0[/tex]
[tex]0 = 0[/tex]
The solution is correct.
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[tex]x = 5[/tex]
[tex] {5}^{2} - 5(5) = 0[/tex]
[tex]25 - 25 = 0[/tex]
[tex]0 = 0[/tex]
The solution is correct.
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
Nolan plots the y-intercept of a line at (0, 3) on the y-axis. He uses a slope of 2 to graph another point. He draws a line through the two points. Which equation represents Nolan’s line?
y = 2x + 1
y = 2x + 3
y = 3x + 2
y = 3x + 5
Answers
Answer:
The equation of Nolan's line is [tex]y=2x+3[/tex]
Step-by-step explanation:
The slope-intercept form of a line is given by:
[tex]y=mx+b[/tex]
Here
m is the slope of the line
and b is the y-intercept.
Given
y-intercept = b = 3
slope = m = 2
The values of m and b can be put into the equation to find the line's equation
So,
Putting the value
[tex]y = 2x+3[/tex]
Hence,
The equation of Nolan's line is [tex]y=2x+3[/tex]
Answer:
The answer is y 2x + 3.
Step by step:
Because i know
-3 1/2 x + 3.5 - x + 6.25
A. -4 4x+ 9.75
B. -2 * x + 9.75
C. -24x - 2.75
D. -4 4 x -2.75
Answers
Answer:
C- -24x - 2.75
Step-by-step explanation:
find one arithetic means between 2 and 32
Answers
Answer:
17
Step-by-step explanation: